537083040 has 384 divisors, whose sum is σ = 1984372992. Its totient is φ = 120913920.

The previous prime is 537083039. The next prime is 537083047. The reversal of 537083040 is 40380735.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 537082989 and 537083007.

It is not an unprimeable number, because it can be changed into a prime (537083047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6470839 + ... + 6470921.

It is an arithmetic number, because the mean of its divisors is an integer number (5167638).

Almost surely, 2^537083040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992186496).

537083040 is an abundant number, since it is smaller than the sum of its proper divisors (1447289952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

537083040 is a wasteful number, since it uses less digits than its factorization.

537083040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 537083040 is about 23175.0521035013. The cubic root of 537083040 is about 812.8563687992.

It can be divided in two parts, 5370 and 83040, that added together give a triangular number (88410 = T₄₂₀).

The spelling of 537083040 in words is "five hundred thirty-seven million, eighty-three thousand, forty".